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以形助数是中学数学重要的数学思想方法之一,也是一种重要的解题手段．由于其解法跨越数学学科自身知识的界限兼有简洁明快、形象直观等特征,学生易于接受并惯以用之．然而事物都是一分为二的,由于学生画图大多是徒手画、同时画出的是整个图形的局部,因此容易犯以局部替代整体、特殊替代一般等错误.以下例析几个错误案例,望引起同学们注意．
The form aid is one of the important mathematics methods of mathematics in middle school, and it is also an important solution. Because its solution crosses the boundary of the mathematics discipline’s own knowledge, it has features such as simplicity, clarity, and visual intuition. Students are easy to accept and use it. However, things are divided into two, because the students draw mostly freehand drawing, while painting the whole part of the figure, it is easy to commit mistakes such as partial replacement of the whole, special substitution, etc. The following example analysis of several error cases, Hope to attract the attention of the students.